Combinatorial Laplacian of the matching complex (Q5960782)
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scientific article; zbMATH DE number 1729959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Combinatorial Laplacian of the matching complex |
scientific article; zbMATH DE number 1729959 |
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Combinatorial Laplacian of the matching complex (English)
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25 April 2002
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Summary: A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We show how the combinatorial Laplacian can be used to give an elegant proof of this result. We also show that the spectrum of the Laplacian is integral.
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representation of the symmetric group
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matching complex
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combinatorial Laplacian
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